融合媒体效应和心理因素的社交网络谣言传播模型

Social Network Rumor Spreading Model Integrating Media Effect and Psychological Factors

针对现有社交网络谣言传播模型未同时考虑媒体效应和个人心理因素的问题,建立了一种新的谣言传播模型。分析了社交网络上谣言的传播过程,阐述了媒体效应和个人的犹豫、遗忘心理因素对社交网络中谣言传播的影响。通过求解模型的平衡点和基本再生数R,证明了模型平衡点的局部稳定性和全局稳定性,并通过数值模拟进行了验证,同时揭示了媒体效应、犹豫率和谣言遗忘率对社交网络中谣言传播的影响规律。结果表明,当R<1时,最终网络中没有谣言传播;当R>1时,网络中仍有谣言传播。媒体效应越强,谣言传播的范围越小,谣言影响力越小;犹豫率越高,谣言传播范围越广;遗忘率越高,谣言传播范围越小。

Aiming at the problem that the existing social network rumor propagation model does not consider the media effect and personal psychological factors at the same time, a new rumor propagation model was established. This paper analyzed the spread process of rumors on social networks, and expounded the influence of media effect, individual hesitation and forgetting psychological factors on the spread of rumors on social networks. By solving the balance point and basic reproduction numberRof the model, the local stability and global stability of the balance point of the model were proved and verified by numerical simulation. At the same time, it reveals the influence of media effect, hesitation rate and rumor forgetting rate on the spread of rumors in social networks. The results show that, whenR<1,no rumors spread in the final network;whenR>1,rumors still spread in the network. The psychological factors of media effect, hesitation and forgetting have an important influence on the process of rumor dissemination. The stronger the media effect, the smaller the scope of the spread of rumors, and the smaller the influence of the rumors;the higher the hesitation rate, the wider the spread of rumors;the higher the forgetting rate, the smaller the spread of rumors.